The Clarets sit 11th in the table and look well placed to survive in the Premier League, especially considering their impressive home form.
Sean Dyche's side have won seven games at Turf Moor and while their away form has been contrastingly poor, Barnes says they have managed to get more points on the board at this stage than he would have expected.
He said in the Lancashire Telegraph: "If somebody would've told me that we'd be 11th (at this stage), I think we would have laughed ourselves.
"But we always believe in ourselves and we know that we can stay in this division. That’s what we’re aiming to do.
"We’ll look to carry this on and hopefully pick up some points away from home."
Barnes knows, however, that the second half of the campaign will be tough and says hard work will be required if they are to stay clear of the relegation zone.
He added: "We’re in a nice position at the moment but we want more.
"We can get better. We’ll be on the training ground working hard and it doesn’t matter who is playing - with the group of lads that we’ve got here we’re always fighting for each other. We’re all fighting to stay in this league."